Search results for "Quantum tools for classical systems"

showing 4 items of 4 documents

A PHENOMENOLOGICAL OPERATOR DESCRIPTION OF INTERACTIONS BETWEEN POPULATIONS WITH APPLICATIONS TO MIGRATION

2013

We adopt an operatorial method based on the so-called creation, annihilation and number operators in the description of different systems in which two populations interact and move in a two-dimensional region. In particular, we discuss diffusion processes modeled by a quadratic hamiltonian. This general procedure will be adopted, in particular, in the description of migration phenomena. With respect to our previous analogous results, we use here fermionic operators since they automatically implement an upper bound for the population densities.

Heisenberg-like dynamicsComputer scienceApplied MathematicsPopulations and Evolution (q-bio.PE)FOS: Physical sciencesDynamics of competing populations with diffusion; Fermionic operators; Heisenberg-like dynamicsUpper and lower boundssymbols.namesakeQuadratic equationOperator (computer programming)Biological Physics (physics.bio-ph)Particle number operatorFOS: Biological sciencesModeling and SimulationsymbolsPhysics - Biological PhysicsStatistical physicsQuantitative Biology - Populations and EvolutionHamiltonian (quantum mechanics)Settore MAT/07 - Fisica MatematicaDynamics of competing populations with diffusionquantum tools for classical systemsFermionic operatorsMathematical Models and Methods in Applied Sciences
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Few Simple Rules to Fix the Dynamics of Classical Systems Using Operators

2012

We show how to use operators in the description of exchanging processes often taking place in (complex) classical systems. In particular, we propose a set of rules giving rise to an Hamiltonian operator for such a system \({\mathcal{S}}\), which can be used to deduce the dynamics of \({\mathcal{S}}\).

Physics - Physics and SocietyPhysics and Astronomy (miscellaneous)General MathematicsDynamics (mechanics)FOS: Physical sciencesPhysics and Society (physics.soc-ph)Mathematical Physics (math-ph)Set (abstract data type)Theoretical physicsSimple (abstract algebra)Settore MAT/07 - Fisica MatematicaMathematical Physicsquantum tools for classical systemsMathematicsInternational Journal of Theoretical Physics
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Quantum dynamics for classical systems

2012

Quantum tools for classical systemsSettore MAT/07 - Fisica Matematica
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Damping in quantum love affairs

2011

In a series of recent papers we have used an operatorial technique to describe stock markets and, in a different context, {\em love affairs} and their time evolutions. The strategy proposed so far does not allow any dumping effect. In this short note we show how, within the same framework, a strictly non periodic or quasi-periodic effect can be introduced in the model by describing in some details a linear Alice-Bob love relation with damping.

Statistics and ProbabilityPhysics - Physics and SocietyQuantum PhysicsQuantum tools for classical systemsFOS: Physical sciencesPhysics and Society (physics.soc-ph)Nonlinear Sciences - Chaotic DynamicsCondensed Matter PhysicsSocial systemDumpingEconomicsChaotic Dynamics (nlin.CD)Quantum Physics (quant-ph)Settore MAT/07 - Fisica MatematicaMathematical economicsQuantumStock (geology)Physica A: Statistical Mechanics and its Applications
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